To provide an introduction to the field of synthetic treatment of lower Ricci curvature bounds via optimal transport. The course will cover the basic definitions and the crucial aspects of the theory, showing applications to both analysis and geometry.

To provide an introduction to the field of synthetic treatment of lower Ricci curvature bounds via optimal transport. The course will cover the basic definitions and the crucial aspects of the theory, showing applications to both analysis and geometry.

To provide an introduction to the field of synthetic treatment of lower Ricci curvature bounds via optimal transport. The course will cover the basic definitions and the crucial aspects of the theory, showing applications to both analysis and geometry.